Atkin-Lehner |
2- 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4446k |
Isogeny class |
Conductor |
4446 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
404320 |
Modular degree for the optimal curve |
Δ |
-4.6981367091116E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 5 -3 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2269259,3551133531] |
[a1,a2,a3,a4,a6] |
j |
-47864328251166811289619/174005063300429643776 |
j-invariant |
L |
4.5632555273663 |
L(r)(E,1)/r! |
Ω |
0.1200856717728 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35568bc1 4446a1 111150h1 57798d1 |
Quadratic twists by: -4 -3 5 13 |